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A \((3,3)\)-homogeneous quantum logic with 18 atoms. I - MaRDI portal

A \((3,3)\)-homogeneous quantum logic with 18 atoms. I (Q1941809)

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scientific article; zbMATH DE number 6148267
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A \((3,3)\)-homogeneous quantum logic with 18 atoms. I
scientific article; zbMATH DE number 6148267

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    A \((3,3)\)-homogeneous quantum logic with 18 atoms. I (English)
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    22 March 2013
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    An atomic quantum logic (orthomodular poset) is \((m,n)\)-homogeneous if every atom belongs to exactly \(m\) blocks and every block contains exactly \(n\) atoms. The author presents five examples of non-lattice \((3,3)\)-homogeneous quantum logics with 18 atoms and describes their automorphism groups and state spaces.
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    quantum logic
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    atom
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    block
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    automorphism group
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    pure state
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